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Finding the Third Proportional to 46,083 and 100,743

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Solution

The third proportional to 46,083 and 100,743 is: 220,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,083 : 100,743 = 100,743 : x
  2. Step 2: Convert to fraction form
    46,083/100,743 = 100,743/x
  3. Step 3: Cross multiply
    46,083x = 100,743 × 100,743
  4. Step 4: Simplify right side
    46,083x = 10,149,152,049
  5. Step 5: Solve for x
    x = 10,149,152,049/46,083
  6. Step 6: Final answer
    x = 220,236.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.